Ghost Equations and Diffeomorphism Invariant Theories

Abstract

Four-dimensional Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the same type as found in the topological theories for Yang-Mills fields. A peculiar feature of the gravitational theory, characterized by diffeomorphism invariance, is a direct link of vector supersymmetry with the field equation of motion for the Faddeev-Popov ghost of diffeomorphisms.

LaTex, 10 pages; sign corrected in eq. (3.9); added and completed references

References in corpus (2)

• Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance
• Vector supersymmetry in topological field theories

Cited by in corpus (9)

• Presymplectic AKSZ formulation of Einstein gravity
• $L_{\infty }$-Algebras of Einstein-Cartan-Palatini Gravity
• On the symmetries of BF models and their relation with gravity
• BV-equivalence between triadic gravity and BF theory in three dimensions
• BV equivalence with boundary
• Symmetries of topological field theories in the BV-framework
• Symmetries and observables in topological gravity
• Diffeomorphism Invariant Theories and Vector Supersymmetry
• Covariant quantization of the Einstein-Hilbert theory in first-order form